i make you as brainliest solve this answer
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Answer:
To prove:
The equation is,
tan∅+sec∅-1/tan∅-sec∅+1=1+sin∅/cos∅
Identity used :
sec²∅-tan²∅=1
Solution:
It is given that,
LHS,
tan∅+sec∅-1/tan∅-sec∅+1
Use the identity,
=tan∅+sec∅-(sec²∅-tan²∅)/tan∅-sec∅+1
=tan∅+sec∅+tan²∅-sec²∅/tan∅-sec∅+1
=tan∅+sec∅+(tan∅+sec∅)(tan∅-sec∅)/tan∅-sec∅+1
=tan∅+sec∅(1+tan∅-sec∅)/tan∅-sec∅+1
=tan∅+sec∅
=sin∅/cos∅+1/cos∅
=sin∅+1/cos∅
So, LHS=RHS
Step-by-step explanation:
Hope it helps you.......
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